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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.AffineZariskiSite.toOpens

{X : AlgebraicGeometry.Scheme} → X.AffineZariskiSite → X.Opens

The inclusion from X.AffineZariskiSite to X.Opens.

Defined in
Mathlib.AlgebraicGeometry.Sites.SmallAffineZariski
Cited by
17 results in Mathlib
Foundations
Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Scheme.AffineZariskiSite.basicOpen · cited by 9AffineZariskiSite.basicOp…AlgebraicGeometry.Scheme.AffineZariskiSite.presieveOfSections · cited by 5AffineZariskiSite.presiev…AlgebraicGeometry.Scheme.Hom.normalizationDesc_comp · cited by 5Hom.normalizationDesc_compAlgebraicGeometry.Scheme.AffineZariskiSite.basicOpen_le · cited by 4AffineZariskiSite.basicOp…AlgebraicGeometry.Scheme.Hom.toNormalization_normalizationDesc · cited by 4Hom.toNormalization_norma…AlgebraicGeometry.Scheme.AffineZariskiSite.sectionsOfPresieve · cited by 3AffineZariskiSite.section…AlgebraicGeometry.Scheme.AffineZariskiSite.presieveOfSections_sectionsOfPresieve · cited by 2AffineZariskiSite.presiev…AlgebraicGeometry.Scheme.AffineZariskiSite.coequifibered_iff_forall_isLocalizationAway · cited by 2AffineZariskiSite.coequif…AlgebraicGeometry.Scheme.AffineZariskiSite.toOpens_mono · cited by 1AffineZariskiSite.toOpens…AlgebraicGeometry.Scheme.AffineZariskiSite.basicOpen_coe · cited by 1AffineZariskiSite.basicOp…AlgebraicGeometry.Scheme.AffineZariskiSite.generate_presieveOfSections_mem_grothendieckTopology · cited by 1AffineZariskiSite.generat…AlgebraicGeometry.Scheme.AffineZariskiSite.mem_grothendieckTopology · cited by 1AffineZariskiSite.mem_gro…AlgebraicGeometry.Scheme.AffineZariskiSite.mem_grothendieckTopology_iff_sectionsOfPresieve · cited by 0AffineZariskiSite.mem_gro…AlgebraicGeometry.Scheme.AffineZariskiSite.presieveOfSections_eq_ofArrows · cited by 0AffineZariskiSite.presiev…AlgebraicGeometry.Scheme.AffineZariskiSite.presieveOfSections_surjective · cited by 0AffineZariskiSite.presiev…AlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.Opens · cited by 1149Scheme.OpensAlgebraicGeometry.Scheme.AffineZariskiSite · cited by 30Scheme.AffineZariskiSiteAffineZariskiSite.toOpensCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by20

Results whose statement or proof uses this declaration.